456006320 has 80 divisors (see below), whose sum is σ = 1321843968. Its totient is φ = 142129920.

The previous prime is 456006307. The next prime is 456006323. The reversal of 456006320 is 23600654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 456006320.

It is not an unprimeable number, because it can be changed into a prime (456006323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30854 + ... + 43173.

Almost surely, 2^456006320 is an apocalyptic number.

456006320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456006320 is an abundant number, since it is smaller than the sum of its proper divisors (865837648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456006320 is a wasteful number, since it uses less digits than its factorization.

456006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74058 (or 74052 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 456006320 is about 21354.3044841081. The cubic root of 456006320 is about 769.7037821640.

Adding to 456006320 its reverse (23600654), we get a palindrome (479606974).

The spelling of 456006320 in words is "four hundred fifty-six million, six thousand, three hundred twenty".